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Finding the Fourth Proportional to 3,294.08, 4,938.44 and 1,443.78

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Solution

The fourth proportional to 3,294.08, 4,938.44 and 1,443.78 is: 2,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.08 : 4,938.44 = 1,443.78 : x
  2. Step 2: Convert to fraction form
    3,294.08/4,938.44 = 1,443.78/x
  3. Step 3: Cross multiply
    3,294.08x = 4,938.44 × 1,443.78
  4. Step 4: Simplify right side
    3,294.08x = 7,130,020.90
  5. Step 5: Solve for x
    x = 7,130,020.90/3,294.08
  6. Step 6: Final answer
    x = 2,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.